.5(14x+2)=3(2-3x)

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Solution for .5(14x+2)=3(2-3x) equation:


Simplifying
0.5(14x + 2) = 3(2 + -3x)

Reorder the terms:
0.5(2 + 14x) = 3(2 + -3x)
(2 * 0.5 + 14x * 0.5) = 3(2 + -3x)
(1 + 7x) = 3(2 + -3x)
1 + 7x = (2 * 3 + -3x * 3)
1 + 7x = (6 + -9x)

Solving
1 + 7x = 6 + -9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9x' to each side of the equation.
1 + 7x + 9x = 6 + -9x + 9x

Combine like terms: 7x + 9x = 16x
1 + 16x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
1 + 16x = 6 + 0
1 + 16x = 6

Add '-1' to each side of the equation.
1 + -1 + 16x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 16x = 6 + -1
16x = 6 + -1

Combine like terms: 6 + -1 = 5
16x = 5

Divide each side by '16'.
x = 0.3125

Simplifying
x = 0.3125

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